If in partnership business the ratio of capitals of Rahul and Amit is `4:5`. Keeping 10% of the total profit in the business as the capital, the rest of the profit is distributed between Rahul and Amit. It thus the profit of Rahul be Rs. 16000, then find the total profit of the business.

Explanation

Let the total profit be Rs. `x`
As per question kept capital `=Rs xx x 10/100=Rs. x/10`
`:.` The distributed profit `=Rs. (x-x/10)=Rs. (9x)/10`
Now, ratio of the capitals of Rahul and Amit `=4:5`
`:.` The profit of Rahul `=Rs. (9x)/10xx4/(4+5)=Rs. (4x)/10`
As per question `(4x)/10=16000impliesx=(16000xx10)/4`
`impliesx=40000`
Hence the total profit `=Rs. 40000`.